Finding the Third Proportional to 146 and 358
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Solution
The third proportional to 146 and 358 is: 877.84
Step by Step Solution
- Step 1: Write the proportion equation
146 : 358 = 358 : x - Step 2: Convert to fraction form
146/358 = 358/x - Step 3: Cross multiply
146x = 358 × 358 - Step 4: Simplify right side
146x = 128,164 - Step 5: Solve for x
x = 128,164/146 - Step 6: Final answer
x = 877.84
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.